how many times does the quadratic function below intersects the X axis?

Answer:

A.

Step-by-step explanation:

Diameter = 4.4 cm

Radius = 2.2 cm

Now

Area of the circle = πr²

= (3.14)(2.2)²

= (3.14)(4.84)

= 15.1976 cm²

Answer:

A.

Step-by-step explanation:

D=4.4, therefore, the Radius is equal to 2.2, half of the diameter.

The formula for Area:

A=pir^2.

A=(3.14)(2.2)^2

A=(3.14)(4.84)

A=15.1976

A=15.1976, which is identical to option A.

Answer:

2/3

Step-by-step explanation:

f(x)=g(x)

-3x+4=2

Add 3x

3x+2=4

subtract 2

3x=2

divide by 3

x=2/3

Answer:

x= 2/3

Step-by-step explanation:

The value where f(x) = g(x) is where the two functions intersect

That would be at

f(x) = g(x)

-3x +4 = 2

Subtract 2 from each side

-3x = -2

x = 2/3

We know the y value.  Substitute x into the equation

g(2/3) = 2

y = 2

The point is (2/3,2)

Answer:

The answer is option 2.

Step-by-step explanation:

You have to substitute the value of y into the equation :

[tex]8x - 2y = 48[/tex]

[tex]let \: y = 4[/tex]

[tex]8x - 2(4) = 48[/tex]

[tex]8x - 8 = 48[/tex]

[tex]8x = 48 + 8[/tex]

[tex]8x = 56[/tex]

[tex]x = 56 \div 8[/tex]

[tex]x = 7[/tex]

The value of x in the equation 8x - 2y = 48 is 7.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

We have,

8x - 2y = 48

Now, for y=4 put the value of y as 4 in given equation we get

8x- 2(4)= 48

8x -8= 48

8x = 48+ 8

8x = 56

x= 56/8

x= 7

Thus, the value of x is 7.

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Answer:

m∠1 = 90°

m∠2 = 55°

Step-by-step explanation:

1. m∠1 = 90° because by definition, the diagonals of a rhombus are perpendicular, or intersect at 90°.

2. Because of vertical angles, the angle opposite of ∠1 is also 90°. A triangle has a total of 180°.

m∠2 + 90 + 35 = 180

90 + 35 = 125

m∠2 + 125 = 180

subtract 125 from both sides to solve for m∠2

m∠2 = 55°

Answer:

B.

D.

Step-by-step explanation:

Answer:

4 2/3

Step-by-step explanation:

[tex]x^4x^{2/3}= \\\\x^{4+2/3}= \\\\x^{4 \ 2/3}[/tex]

Therefore, a= 4 2/3.

Hope this helps!

Answer:

It is E and F

Step-by-step explanation:

A quadratic equation is written in the form of ax²+bx+c. The two values of x that are the roots of the polynomial are E and F.

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.

The roots of the quadratic equation are found as shown below,

[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

If the given equation x²-11x+17 is compared with the general quadratic equation ax²+bx+c, then the value of a, b, and c is 1, -11, and 17, respectively.

The roots of the given polynomial x²-11x+17=0 can be found as shown below. Therefore, The roots of the polynomial are,

[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}\\x = \dfrac{-(-11) \pm \sqrt{(-11)^2 - 4(1)(17)}}{2(1)}\\\\x = \dfrac{11 \pm \sqrt{121 - 68}}{2}\\\\x = \dfrac{11 \pm \sqrt{53}}{2}[/tex]

x= (11 + √53)/2 , (11 - √53)/2

Hence, the two values of x that are the roots of the polynomial are E and F.

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Answer:

C

Step-by-step explanation:

Δ AQP and Δ ACB are similar triangles, thus the ratios of corresponding sides are equal, that is

[tex]\frac{AQ}{AC}[/tex] = [tex]\frac{PQ}{BC}[/tex] ( note that AC = 3 + 6 = 9 ), substitute values

[tex]\frac{3}{9}[/tex] = [tex]\frac{4.5}{BC}[/tex] ( cross- multiply )

3BC = 40.5 ( divide both sides by 3 )

BC = 13,5 cm → C

Answer: y=3

Step-by-step explanation:

6-y+3  

-3    -3

6-3=3 and 3-3 is 0

so the answey is y=3

hope this Helps :)

Answer:

6.59 and 3.41

Step-by-step explanation:

To evaluate, substitute n for each of the given values.

So when n= 3:

0.53n + 5 = 1.59 + 5 = 6.59

And when n = -3

0.53 n + 5 = -1.59+5=3.41

Hope this helps

Answer:

X = 0

Step-by-step explanation:

Answer: 2.5 hours or 2 hr and 30 min

Step-by-step explanation:

We can set up an equation to find how many hours you can park.

2.5+4x=12.5

The 2.5 comes from the base fee. The 4x is the hourly rate, where x is hours. The 12.5 is the total amount of money you have.

Since we have our equation, we can solve for x.

4x=10

x=2.5

You can park for 2.5 hours, or 2 hours and 30 min.

Answer:

they are 2 lines that look ;like this =

Step-by-step explanation: the 2 lines of the equal sign are parallel

Answer:

rational

Step-by-step explanation:

Answer:

Rational Number

Step-by-step explanation:

A repeating decimal added to a fraction will result in a rational number.

Answer:

(D) [tex]\dfrac{f(9)-f(2)}{9-2}[/tex]

Step-by-step explanation:

To determine the average rate of change in f(x) over the interval [a,b], we use the formula:

[tex]\text{Average rate of change}=\dfrac{f(b)-f(a)}{b-a}[/tex]

Therefore, given a function f(x), the average rate of change in f(x) over the interval [2,9] is given as:

[tex]\text{Average rate of change}=\dfrac{f(9)-f(2)}{9-2}[/tex]

The correct option is D,

Answer:

D

Step-by-step explanation:

Answer:

 The quotient is x² + 6x +3

       Remainder  = -1      

 Step-by-step explanation:

Explanation:-

Given Polynomial equation

   f(x) = x³+5x²−9x−7

By using synthetic division

  x = 2           1       5       -9      -7

                      0       1       12     6

                  1      6         3     -1          

 The quotient is x² + 6x +3

       Remainder  = -1      

Answer:

x^2 +2x -5

Step-by-step explanation:

f(x) = 2x+3

g(x) = x^2 -8

f(x)+g(x) =  2x+3+ x^2 -8

Combine like terms

             = x^2 +2x -5

Answer:

x = 2

y = 1

Step-by-step explanation:

3x - y = 5..............(1)× 1

2x + y = 5...….......(2)× 1

3x - y = 5..............(3)

2x + y = 5.............(4)

Cancel y

3x + 2x = 5 + 5

5x = 10

Divide both sides by 5

x = 2

Substitute for the value of y

3x - y = 5

3(2) - y = 5

6 - y = 5

6 - 5 = y

1 = y

y = 1

Step-by-step explanation:

Let the numbers be x and y

2 consecutive even nos.

therefore y = x+2

twice of the first (2x) is 46 more than y

2x = y+46

Solving both the equations

x - y + 2 = 0

(-)2x - y - 46 = 0

____________

-x + 0 + 48 = 0

____________

x = 48

y = x+2

= 48 +2

= 50

Therefore the 2 nos. are 48 and 50

Hope this answers helps you

Answer:

3 3/4

Step-by-step explanation:

1 5/12 2 1/3

First, we must convert the fractions to have the same denominator.

We can turn 2 1/3 is equal to 2 4/12.

1 5/12 + 2 4/12 = 3 9/12

Now we simplify.

3 9/12 = 3 3/4

Hey there! :)

Answer:

(2, -2)

Step-by-step explanation:

-2x + y = -6

4x + 3y = 2

We can begin by setting the first equation equal to y:

-2x + y = -6

Add 2x to both sides:

y = 2x - 6

Plug this equation for y into the second equation:

4x + 3(2x - 6) = 2

Distribute:

4x + 6x - 18 = 2

Combine like terms:

10x = 20

x = 2

Plug the value of 'x' into an equation to solve for 'y':

-2(2) + y = -6

-4 + y = -6

y = -2

Therefore, the solution is (2, -2)

Answer: 50%

Step-by-step explanation:

I'm converting 7kg to grams to make it easier. So £10 = 7000g

£1 = 7000÷10 = 700g

700g÷2 = 350g and if you follow the ratios on top, she payed 50p per 350g

She sells a bag of 350g for 75p.

Percentage profit=[tex]\frac{Change in cost}{original cost}[/tex] × 100

75p - 50p = 25p = change in cost

Percentage profit= [tex]\frac{25}{50}[/tex] × 100

= 50%

Answer:

a = 94

b = -66√3

Step-by-step explanation:

Given  z = [tex]-1-i\sqrt{3}[/tex]

[tex]z^{6}=(z^{3})^{2}[/tex]

[tex](-1-i\sqrt{3})^6=[(-1-i\sqrt{3})^3]^2[/tex]

                   [tex]=[-(1+i\sqrt{3})^3]^{2}[/tex]

                   [tex]=[(1+i\sqrt{3})^3]^2[/tex]

                   [tex]=[(1)^3+(i\sqrt{3})^3+3(1)^2(i\sqrt{3})+3(1)(i\sqrt{3})^2]^2[/tex] [(a + b)³ = a³ + b³ + 3a²b + 3ab²]

                   = [1 + 3i² + 3i√3 + 9i²]²

                   = [1 - 3 + 3i√3 - 9]²

                   = [-11 + 3i√3]²

                   = (11)² -2(3i√3)(11) + (3i√3)²

                   = 121 - 66i√3 + 27i²

                   = 121 - 66i√3 - 27

                   = (94 - 66i√3)

Comparing it with (a + bi),

a = 94 and  b = -66√3

hope it helps you tell me in the comment box

(•‿•)

They are Parallel, Intersecting, and perpendicular, if it's helpful let me know

Answer:B

Step-by-step explanation:

Answer:

The real correct answer is C

Step-by-step explanation:

Answer:

Step-by-step explanation:

there is no soltion because it is not intersects

Answer:

No solution as it will not intersect.

Answer:

14

Step-by-step explanation:

From the question we are given the first term 8,second term 11 and we are to find the third term.

Using the formula:Tn=a+(n-1)d

Where a=first term=8

n=number of terms =3

d= difference between terms( second term -first term)=11-8=3

T3=8+(3-1)3

=8+2(3)

=8+6

The next term =14

Answer:

27°

Step-by-step explanation:

Angle ABC is 90°

ACB is 63 because it is vertically opposite angle GCJ

Angle CAB is 27° (90-63)

angle x is 27° (vertically opposite CAB)

Answer:

Step-by-step explanation:

A) These are the squares of another number or we can say the prime numbers

B) THE NEXT NUMBER IN THE SEQUENCE IS 9 BECAUSE ALL THESE ARE SQUARES OF 8 7 6 5 4 AND THE LAST ONE WILL BE 9